Компьютерное моделирование задач аэрогидродинамики на основе численного решения кинетического уравнения методом решеточных уравнений Больцмана в программном комплексе XFlow


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Computer Simulation of Aerohydrodynamics Problems on the Base of Numerical Solution of Kinetic Equation by Lattice Boltzmann Method in the XFlow software package

There are demonstrated the possibilities of software package XFlow™ developed by Next Limit Technologies™ and designed to simulate a wide class flows of viscous heat-conducting liquids and gases. Numerical algorithm is based on the meshless method of Lagrangian particles to solving the Boltzmann equation for the distribution function with a certain type of collision integral. The basis of the numerical scheme is a solution of lattice Boltzmann equations, known in the literature as LBM - method (Lattice Boltzmann Method). For the simulation of turbulent flows the LES (Large Eddy Simulation) model of large-scale turbulence is used. XFlow™ has the ability to calculate the non-stationary two- and three-dimensional problems with complicated boundary conditions and moving bodies. There are presented the results of the simulation of external aerodynamics and internal hydrodynamics.

kinetic equation, lattice Boltzmann method, computational aero-and hydrodynamics, crystal growth, Czochralski hydrodynamic model

Наталья Владимирова, Анатолий Иванович Простомолотов, Наталия Анатольевна Верезуб

Том 16, выпуск 1, 2015 год



В работе демонстрируются возможности программного комплекса XFlow™, разрабатываемого компанией Next Limit Technologies™ для моделирования широкого класса течений вязких теплопроводных жидкостей и газов. Численный алгоритм основан на бессеточном методе Лагранжевых частиц решения кинетического уравнения Больцмана для функции распределения с определенным видом интеграла столкновений. В основу численной схемы положен LBM-метод (Lattice Boltzmann Method) решеточных уравнений Больцмана. Для моделирования турбулентных течений используется LES-модель турбулентности (Large Eddy Simulation). Алгоритм предназначен для моделирования нестационарных двумерных и пространственных задач со сложными граничными условиями и подвижными телами. Приведены результаты моделирования широкого класса задач внешней аэродинамики и внутренней гидродинамики.

кинетическое уравнение, метод решеточных уравнений Больцмана, вычислительная аэро- и гидродинамика, выращивание кристаллов, гидродинамическая модель метода Чохральского

Наталья Владимирова, Анатолий Иванович Простомолотов, Наталия Анатольевна Верезуб

Том 16, выпуск 1, 2015 год



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